Math 102  Calculus I with Economics Applications
Reading Assignments  October 2003
Be sure to check back, because this may change during the semester.
(Last modified:
Sunday, August 17, 2003,
1:59 PM )
I'll use Maple syntax for mathematical notation on this page.
All numbers indicate sections from Calculus from Graphical, Numerical, and Symbolic Points of View, Second Edition by Ostebee/Zorn.
For Wednesday October 1
The Big Picture before Exam 1. No Reading Assignment for today.
For Friday October 3
Section 2.4 Using Derivative and Antiderivative Formulas
To read : All. Be sure to understand the definition of an antiderivative
and Theorems 8, 9, and 10.
Reading Questions :
 Explain in your own words what an antiderivative of a function g(x) is.
 How many antiderivatives does f(x)=3x^{2} have? Why?
For Monday October 6
Section 2.6 Derivatives of Exponential and Logarithmic Functions; Modeling Growth
To read : All. Be sure to understand Theorem 12 and the section "Proof by
picture" that follows.
Reading Questions :
 What is the 82nd derivative of f(x)=e^{x}?
 Do exponential functions model compound interest well? Explain.
For Wednesday October 8
Section 2.6 Derivatives of Exponential and Logarithmic Functions: Modeling Growth
Reread the section for today, but no Reading Questions
For Friday October 10
Section 2.7 Derivatives of Trignometric Functions: Modeling Oscillation
To read : All. Be sure to understand the section "Differentiating the sine: an
analytic proof".
Reading Questions :
 What is lim_{h>0} ( cos(h)  1) / h?
 What is lim_{h>0} sin(h) / h?
 Why do we care about the limits in the first two questions?
For Monday October 13
Fall Break. Surprisingly, no Reading Assignment.
For Wednesday October 15
Section 3.1 Algebraic Combinations: The Product and Quotient Rules
To read : All. Be sure to understand Examples 3, 4 and 5.
Reading Questions : Explain what is wrong with the following calculations and fix them.
 f(x)=x^{2} sin(x). f'(x)=2x cos(x)
 g(x)=sin(x) / (x^{2} + 1). g'(x) = cos(x) / (2x)
For Friday October 17
Section 3.2 Composition and the Chain Rule
To read : Through Example 12. We'll consider evidence for why the Chain Rule is
true during class.
Reading Questions : Explain what is wrong with the following calculations and fix them.
 f(x)= sin(x^{2}). f'(x)=cos(2x)
 g(x)=( sin(x) )^{3}. g'(x)=3( cos(x) )^{2}
For Monday October 20
Section 3.2 Composition and the Chain Rule
Reread the section, but no Reading Questions for today.
For Wednesday October 22
More fun with differentiation. Review Sections 3.1 and 3.2, but no Reading Assignment.
For Friday October 24
Differentiation Exam today. No Reading Assignment.
For Monday October 27
Section 4.3 Optimization
To read : All. Read Examples 2, 3, and 4 carefully.
Reading Questions :
 At which xvalues can a continuous function f(x) achieve its maximum or minimum value
on a closed interval [a,b]?
 What is the difference between an objective function and a constraint equation?
For Wednesday October 29
Section 4.3 Optimization
Reread the section, but no Reading Questions for today.
For Friday October 31
Work on Project 2. No Reading Assignment.
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